Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras
Ismail Laraiedh, Sergei Silvestrov
TL;DR
This paper introduces new constructions of BiHom-X algebras using twisting and other methods, and defines bimodules for various BiHom-dialgebras, expanding the algebraic framework and their interrelations.
Contribution
It provides novel construction techniques for BiHom-X algebras and defines bimodules for several types of BiHom-dialgebras, including their matched pairs.
Findings
Constructed BiHom-X algebras via Yau's twisting and other methods.
Defined bimodules for BiHom-left symmetric, associative, and tridendriform dialgebras.
Established properties and relations of bimodules and their matched pairs.
Abstract
The aim of this paper is to introduce and to give some constructions results of BiHom-X algebras by using Yau's twisting, Rota Baxter and Some elements of centroids. Next, we define the bimodules of BiHom-left symmetric dialgebras, BiHom-associative dialgebras and BiHom-tridendriform algebras. A sequence of this kind of bimodules can be constructed. Their matched pairs are also introduced and related relevant properties are given.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms